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Finding the Fourth Proportional to 89.40, 123.38 and 58.32

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Solution

The fourth proportional to 89.40, 123.38 and 58.32 is: 80.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.40 : 123.38 = 58.32 : x
  2. Step 2: Convert to fraction form
    89.40/123.38 = 58.32/x
  3. Step 3: Cross multiply
    89.40x = 123.38 × 58.32
  4. Step 4: Simplify right side
    89.40x = 7,195.52
  5. Step 5: Solve for x
    x = 7,195.52/89.40
  6. Step 6: Final answer
    x = 80.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.